What is factor 4x^2-12x-27 ?

The solution to factor 4x^2-12x-27 is (2x+3)(2x-9)

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factor 4x^2-12x-27

factor

4 x^{2} - 12 x - 27

(2 x + 3) (2 x - 9)

Solution steps

4 x^{2} - 12 x - 27

Break the expression into groups

= (4 x^{2} + 6 x) + (- 18 x - 27)

Factor out

2 x

from

4 x^{2} + 6 x : 2 x (2 x + 3)

Factor out

- 9

from

- 18 x - 27 : - 9 (2 x + 3)

= 2 x (2 x + 3) - 9 (2 x + 3)

Factor out common term

2 x + 3

= (2 x + 3) (2 x - 9)

2 x^{2} = x + 3

∣ 2 x + 3 ∣ > 3

6 x + 10 = 10 x + 10

x^{2} + 2 x - 2 > 2000

2 u^{2} + 2 = - 5 u